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Finding the Third Proportional to 2,132.54 and 4,508.55

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Solution

The third proportional to 2,132.54 and 4,508.55 is: 9,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.54 : 4,508.55 = 4,508.55 : x
  2. Step 2: Convert to fraction form
    2,132.54/4,508.55 = 4,508.55/x
  3. Step 3: Cross multiply
    2,132.54x = 4,508.55 × 4,508.55
  4. Step 4: Simplify right side
    2,132.54x = 20,327,038.95
  5. Step 5: Solve for x
    x = 20,327,038.95/2,132.54
  6. Step 6: Final answer
    x = 9,531.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.